Name
Abstract | ||
|---|---|---|
We study a posteriori error estimates in the energy norm for some parabolic obstacle problems discretized with a Euler implicit time scheme combined with a finite element spatial approximation. We discuss the reliability and efficiency of the error indicators, as well as their localization properties. Apart from the obstacle resolution, the error indicators vanish in the so-called full contact set. The case when the obstacle is piecewise affine is studied before the general case. Numerical examples are given. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1007/s10915-008-9215-7 | J. Sci. Comput. |
Keywords | Field | DocType |
finite element methods,obstacle problem,adaptive mesh refinement,variational inequality,finite element,finite element method | Affine transformation,Discretization,Mathematical optimization,Mathematical analysis,A priori and a posteriori,Euler's formula,Piecewise,Mathematics,Mixed finite element method,Variational inequality,Parabola | Journal |
Volume | Issue | ISSN |
37 | 3 | 0885-7474 |
Citations | PageRank | References |
2 | 0.56 | 7 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yves Achdou | 1 | 197 | 32.74 |
| Frédéric Hecht | 2 | 44 | 11.46 |
| David Pommier | 3 | 2 | 0.56 |